Although Escher considered that he had no mathematical ability, he both interacted with the practising mathematicians George Pólya, Roger Penrose, and Harold Coxeter, read mathematical papers by these authors and by the crystallographer Friedrich Haag, and conducted his own mathematical research into tessellation. His work features mathematical objects and operations including impossible objects, explorations of infinity, reflection, symmetry,perspective, truncated and stellated polyhedra, hyperbolic geometry, and tessellations.
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